Finding the Third Proportional to 6,280.50 and 14,857.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,280.50 : 14,857.50 = 14,857.50 : x
2. Step 2: Convert to fraction form
   6,280.50/14,857.50 = 14,857.50/x
3. Step 3: Cross multiply
   6,280.50x = 14,857.50 × 14,857.50
4. Step 4: Simplify right side
   6,280.50x = 220,745,306.25
5. Step 5: Solve for x
   x = 220,745,306.25/6,280.50
6. Step 6: Final answer
   x = 35,147.73